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Finding the Third Proportional to 75,958 and 166,211

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Solution

The third proportional to 75,958 and 166,211 is: 363,702.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,958 : 166,211 = 166,211 : x
  2. Step 2: Convert to fraction form
    75,958/166,211 = 166,211/x
  3. Step 3: Cross multiply
    75,958x = 166,211 × 166,211
  4. Step 4: Simplify right side
    75,958x = 27,626,096,521
  5. Step 5: Solve for x
    x = 27,626,096,521/75,958
  6. Step 6: Final answer
    x = 363,702.26

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.